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A083689 Numbers n such that the sum of the factorials of the digits of n! is prime. 0
2, 19, 24, 35, 40, 41, 42, 43, 73, 90, 125, 135, 180, 188, 209, 216, 217, 236, 241, 242, 267, 280, 304, 308, 321, 334, 343, 402, 409, 411, 436, 472, 475, 485, 487, 497, 572, 624, 635, 637, 647, 669, 689, 713, 751, 807, 844, 857, 902, 913, 930, 934, 947, 956 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
a(2)=19 because 19! = 121645100408832000
and 1!+2!+1!+6!+4!+5!+1!+0!+0!+4!+0!+8!+8!+3!+2!+0!+0!+0! = 81547 a prime.
MATHEMATICA
Select[Range[1000], PrimeQ[Total[IntegerDigits[#!]!]]&] (* Harvey P. Dale, Nov 25 2018 *)
CROSSREFS
Sequence in context: A004023 A186682 A031030 * A102617 A365235 A290163
KEYWORD
base,nonn
AUTHOR
Jason Earls, Jun 15 2003
STATUS
approved

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Last modified April 18 15:42 EDT 2024. Contains 371780 sequences. (Running on oeis4.)